HolyLab / HolyLab/GaussianRandomVariables.jl

Make powers exact?

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Julia
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Description

Powers should be doable exactly using confluent hypergeometric functions. See, e.g., the final case analyzed at https://mathworld.wolfram.com/GaussianIntegral.html.

It may also be possible to return the exact answer for log: https://math.stackexchange.com/questions/1359584/an-integral-involving-a-gaussian-and-a-logarithm

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First steps

  1. Read the whole issue, then the project's contributing guide.
  2. Comment on the issue to say you are picking it up — it saves two people doing the same work.
  3. Fork the repository and make your change on a branch.
  4. Open a pull request that references the issue number.

Research direction

Start by reviewing the Gaussian Integral and Math StackExchange references linked in the issue, then inspect the package's existing power and log entry points. Determine which powers require exact confluent-hypergeometric forms and define tests that distinguish exact results from the current approximations; the issue does not name files or existing tests.

Written by the indexing model from the issue text.

Assessment

Tech stack
julia
Domain
backend
Issue type
Feature
Difficulty
5/5
Estimated time
Over a week
Activity status
Stale
Clarity
Needs clarification
Newbie friendliness
25/100

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